John Conway is one of the most famous mathematicians of this era. He drew these seven “feet” pictures:

hop

jump

sidle

spinhop

spinjump

spinsidle

step

Find the symmetries for each of Conway’s pictures and figure out which IUC names correspond to Conway’s names. Make a table showing the correspondence between the IUC names and the Conway names. (For example, the “jump” corresponds to p1m1).

Get out of your chair and perform all seven of the Conway steps. Which is the hardest?